2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161757Let N be a complete, simply-connected surface of constant curvature κ\leq 0. Moreover, suppose that Ωand \tildeΩ are strictly convex domains in N with the same area. We show that there exists an area-preserving diffeomorphism from Ωto \tildeΩ whose graph is a minimal submanifold of N \times N.revised version, to appear in J. Diff. GeomDifferential GeometryAnalysis of PDEstext